Joint MMSE Transceiver Designs for MIMO AF Relaying Systems with Direct Link

Han Bae Kong, Hun Min Shin, Taeseok Oh, Inkyu Lee

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


In this paper, we provide minimum mean-squared error-based source-relay-destination transceiver designs for multiple-input multiple-output amplify-and-forward relaying systems, where direct link between the source and the destination is non-negligible. In an earlier work, a local optimal technique was introduced which employs a projected gradient method and an interior point method. Since these methods may have quite high computational complexity, we investigate a new local optimal solution for the source-relay-destination transceiver which has low complexity. To this end, we first introduce the optimal closed-form solution for the relay transceiver for given source and destination filters. Then, for given relay and destination transceivers, the optimal source precoder design is derived, which requires only 1-D bisection search. Based on these solutions, we propose a joint optimization algorithm which iteratively finds a local optimal solution. Also, we introduce a simple non-iterative algorithm which computes filters in closed-forms with low complexity. Furthermore, since perfect channel knowledge may not be feasible in practical systems, a joint transceiver technique which is robust to channel uncertainties is provided. It is confirmed by simulation results that the proposed schemes outperform conventional techniques with significantly reduced complexity.

Original languageEnglish
Article number7880718
Pages (from-to)3547-3560
Number of pages14
JournalIEEE Transactions on Wireless Communications
Issue number6
Publication statusPublished - 2017 Jun

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation funded by the Ministry of Science, ICT and Future Planning of the Korean Government under Grant 2014R1A2A1A10049769.

Publisher Copyright:
© 2002-2012 IEEE.


  • MIMO systems
  • MMSE
  • direct link
  • relay
  • transceiver design

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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